42472104678995023123114848
42,472,104,678,995,023,123,114,848 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42472104678995023123114848 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 576 divisors.
42472104678995023123114848 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 42472104678995023123114848:
25 × 3 × 112 × 73 × 89 × 193 × 2915929392502193
(2 × 2 × 2 × 2 × 2 × 3 × 11 × 11 × 73 × 89 × 193 × 2915929392502193)See below for interesting mathematical facts about the number 42472104678995023123114848 from the Numbermatics database.
Names of 42472104678995023123114848
- Cardinal: 42472104678995023123114848 can be written as Forty-two septillion, four hundred seventy-two sextillion, one hundred four quintillion, six hundred seventy-eight quadrillion, nine hundred ninety-five trillion, twenty-three billion, one hundred twenty-three million, one hundred fourteen thousand, eight hundred forty-eight.
Scientific notation
- Scientific notation: 4.2472104678995023123114848 × 1025
Factors of 42472104678995023123114848
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 2915929392502564
Divisors of 42472104678995023123114848
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 73 88 89 96 121 132 146 176 178 193 219 242 264 267 292 352 356 363 386 438 484 528 534 579 584 712 726 772 803 876 968 979 1056 1068 1158 1168 1424 1452 1544 1606 1752 1936 1958 2123 2136 2316 2336 2409 2848 2904 2937 3088 3212 3504 3872 3916 4246 4272 4632 4818 5808 5874 6176 6369 6424 6497 7008 7832 8492 8544 8833 9264 9636 10769 11616 11748 12738 12848 12994 14089 15664 16984 17177 17666 18528 19272 19491 21538 23353 23496 25476 25696 25988 26499 28178 31328 32307 33968 34354 35332 38544 38982 42267 43076 46706 46992 50952 51531 51976 52998 56356 64614 67936 68708 70059 70664 71467 77088 77964 84534 86152 93412 93984 101904 103062 103952 105996 112712 129228 137416 140118 141328 142934 154979 155928 169068 172304 186824 188947 203808 206124 207904 211992 214401 225424 258456 274832 280236 282656 285868 309958 311856 338136 344608 373648 377894 412248 423984 428802 450848 464937 516912 549664 560472 566841 571736 619916 623712 676272 747296 755788 786137 824496 847968 857604 929874 1033824 1120944 1133682 1143472 1239832 1253921 1352544 1511576 1572274 1648992 1704769 1715208 1859748 2078417 2241888 2267364 2286944 2358411 2479664 2507842 3023152 3144548 3409538 3430416 3719496 3761763 4156834 4534728 4716822 4959328 5015684 5114307 6046304 6235251 6289096 6819076 6860832 7438992 7523526 8313668 9069456 9433644 10031368 10228614 12470502 12578192 13638152 13793131 14877984 15047052 16627336 18138912 18867288 20062736 20457228 24941004 25156384 27276304 27586262 30094104 33254672 37734576 40125472 40914456 41379393 49882008 54552608 55172524 60188208 66509344 75469152 81828912 82758786 99764016 110345048 120376416 151724441 163657824 165517572 199528032 220690096 303448882 331035144 441380192 455173323 606897764 662070288 910346646 1213795528 1324140576 1820693292 2427591056 3641386584 4855182112 7282773168 14565546336 2915929392502193 5831858785004386 8747788177506579 11663717570008772 17495576355013158 23327435140017544 32075223317524123 34991152710026316 46654870280035088 64150446635048246 69982305420052632 93309740560070176 96225669952572369 128300893270096492 139964610840105264 192451339905144738 212862845652660089 256601786540192984 259517715932695177 279929221680210528 352827456492765353 384902679810289476 425725691305320178 513203573080385968 519035431865390354 562774372752923249 638588536957980267 705654912985530706 769805359620578952 778553147798085531 851451382610640356 1026407146160771936 1038070863730780708 1058482369478296059 1125548745505846498 1277177073915960534 1411309825971061412 1539610719241157904 1557106295596171062 1688323118258769747 1702902765221280712 2076141727461561416 2116964738956592118 2251097491011692996 2341491302179260979 2554354147831921068 2822619651942122824 2854694875259646947 3079221438482315808 3114212591192342124 3376646236517539494 3405805530442561424 4152283454923122832 4233929477913184236 4502194982023385992 4682982604358521958 5108708295663842136 5645239303884245648 5709389750519293894 6190518100282155739 6228425182384684248 6753292473035078988 6811611060885122848 7024473906537782937 8304566909846245664 8467858955826368472 8564084625778940841 9004389964046771984 9365965208717043916 10217416591327684272 11290478607768491296 11418779501038587788 12381036200564311478 12456850364769368496 13506584946070157976 14048947813075565874 16935717911652736944 17128169251557881682 18008779928093543968 18571554300846467217 18731930417434087832 18944793263086747921 20434833182655368544 22837559002077175576 24762072401128622956 24913700729538736992 25756404323971870769 27013169892140315952 28097895626151131748 31401643627856116417 33871435823305473888 34256338503115763364 37143108601692934434 37463860834868175664 37889586526173495842 41082529210963397177 45675118004154351152 49524144802257245912 50086919175010169161 51512808647943741538 54026339784280631904 56195791252302263496 56834379789260243763 62803287255712232834 68095699103103713129 68512677006231526728 74286217203385868868 74927721669736351328 75779173052346991684 77269212971915612307 82165058421926794354 91350236008308702304 94204930883568349251 99048289604514491824 100173838350020338322 103025617295887483076 112391582504604526992 113668759578520487526 123247587632890191531 125606574511424465668 136191398206207426258 137025354012463053456 148572434406771737736 150260757525030507483 151558346104693983368 154538425943831224614 164330116843853588708 188409861767136698502 198096579209028983648 200347676700040676644 204287097309311139387 206051234591774966152 208392725893954227131 224783165009209053984 227337519157040975052 246495175265780383062 251213149022848931336 272382796412414852516 274050708024926106912 297144868813543475472 300521515050061014966 303116692209387966736 309076851887662449228 328660233687707177416 376819723534273397004 400695353400081353288 408574194618622278774 412102469183549932304 416785451787908454262 451907821320597368947 454675038314081950104 492990350531560766124 502426298045697862672 544765592824829705032 550956110925111860771 594289737627086950944 601043030100122029932 606233384418775933472 618153703775324898456 625178177681862681393 657320467375414354832 753639447068546794008 801390706800162706576 817148389237244557548 824204938367099864608 833570903575816908524 903815642641194737894 909350076628163900208 985980701063121532248 1004852596091395725344 1089531185649659410064 1101912221850223721542 1202086060200244059864 1236307407550649796912 1250356355363725362786 1314640934750828709664 1355723463961792106841 1507278894137093588016 1602781413600325413152 1634296778474489115096 1652868332775335582313 1667141807151633817048 1807631285282389475788 1818700153256327800416 1971961402126243064496 2179062371299318820128 2203824443700447443084 2292319984833496498441 2404172120400488119728 2472614815101299593824 2500712710727450725572 2711446927923584213682 3014557788274187176032 3268593556948978230192 3305736665550671164626 3334283614303267634096 3615262570564778951576 3656345099775742348753 3943922804252486128992 4407648887400894886168 4584639969666992996882 4808344240800976239456 4970986034526571058417 5001425421454901451144 5422893855847168427364 6060517220176230468481 6537187113897956460384 6611473331101342329252 6668567228606535268192 6876959954500489495323 7230525141129557903152 7312690199551484697506 8815297774801789772336 9169279939333985993764 9941972069053142116834 10002850842909802902288 10845787711694336854728 10969035299327227046259 12121034440352460936962 13222946662202684658504 13753919909000978990646 14461050282259115806304 14625380399102969395012 14912958103579713175251 17630595549603579544672 18181551660528691405443 18338559878667971987528 19883944138106284233668 20005701685819605804576 21691575423388673709456 21938070598654454092518 24242068880704921873924 26445893324405369317008 27507839818001957981292 29250760798205938790024 29825916207159426350502 36363103321057382810886 36677119757335943975056 39767888276212568467336 40219796097533165836283 43383150846777347418912 43876141197308908185036 48484137761409843747848 52891786648810738634016 55015679636003915962584 58501521596411877580048 59651832414318852701004 72726206642114765621772 73354239514671887950112 79535776552425136934672 80439592195066331672566 87752282394617816370072 96968275522819687495696 110031359272007831925168 117003043192823755160096 119303664828637705402008 120659388292599497508849 145452413284229531243544 159071553104850273869344 160879184390132663345132 175504564789235632740144 193936551045639374991392 220062718544015663850336 238607329657275410804016 241318776585198995017698 290904826568459062487088 321758368780265326690264 351009129578471265480288 442417757072864824199113 477214659314550821608032 482637553170397990035396 581809653136918124974176 643516737560530653380528 884835514145729648398226 965275106340795980070792 1287033475121061306761056 1327253271218594472597339 1769671028291459296796452 1930550212681591960141584 2654506542437188945194678 3539342056582918593592904 3861100425363183920283168 5309013084874377890389356 7078684113165837187185808 10618026169748755780778712 14157368226331674374371616 21236052339497511561557424 42472104678995023123114848
- Sum of all divisors σ(n): 126271443270262530203732160
- Sum of proper divisors (its aliquot sum) s(n): 83799338591267507080617312
- 42472104678995023123114848 is an abundant number, because the sum of its proper divisors (83799338591267507080617312) is greater than itself. Its abundance is 41327233912272483957502464
Bases of 42472104678995023123114848
- Binary: 100011001000011101000101101000011111001000001100101011001001110010001011101011011000002
- Hexadecimal: 0x2321D1687C832B2722EB60
- Base-36: 5C47WJXJLMV50MV6O
Squares and roots of 42472104678995023123114848
- 42472104678995023123114848 squared (424721046789950231231148482) is 1803879675863510936168918682359651113960273798063104
- 42472104678995023123114848 cubed (424721046789950231231148483) is 76614566421586648510365200913713957782531728918311608481220442618313743368192
-
The
square root of 42472104678995023123114848 is 6517062580564.5769572153 -
The
cube root of 42472104678995023123114848 is 348900234.1495869921
Scales and comparisons
How big is 42472104678995023123114848?- 42,472,104,678,995,023,123,114,848 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,472,104,678,995,023,123,114,848 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 42472104678995023123114848 cubic inches would be around 29075019.5 feet tall.
Recreational maths with 42472104678995023123114848
- 42472104678995023123114848 backwards is 84841132132059987640127424
- The number of decimal digits it has is: 26
- The sum of 42472104678995023123114848's digits is 105
- More coming soon!
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The information we have on file for 42472104678995023123114848 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 42472104678995023123114848, math, Factors of 42472104678995023123114848, curriculum, school, college, exams, university, Prime factorization of 42472104678995023123114848, STEM, science, technology, engineering, physics, economics, calculator, forty-two septillion, four hundred seventy-two sextillion, one hundred four quintillion, six hundred seventy-eight quadrillion, nine hundred ninety-five trillion, twenty-three billion, one hundred twenty-three million, one hundred fourteen thousand, eight hundred forty-eight.